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Finding the Fourth Proportional to 130.95, 180.71 and 83.63

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Solution

The fourth proportional to 130.95, 180.71 and 83.63 is: 115.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.95 : 180.71 = 83.63 : x
  2. Step 2: Convert to fraction form
    130.95/180.71 = 83.63/x
  3. Step 3: Cross multiply
    130.95x = 180.71 × 83.63
  4. Step 4: Simplify right side
    130.95x = 15,112.81
  5. Step 5: Solve for x
    x = 15,112.81/130.95
  6. Step 6: Final answer
    x = 115.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.